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Yuki888 [10]
3 years ago
11

How many solutions does this system have?

Mathematics
2 answers:
Leokris [45]3 years ago
7 0

Answer:

The correct option is d.

Step-by-step explanation:

The given equations are

x-2y=2                 .... (1)

y=-2x+5               .... (2)

In equation 2, multiply both sides by 2.

2y=-4x+10               .... (3)

Now add equation (1) and (3).

x-2y+2y=2+(-4x+10)

x=2-4x+10

x+4x=12

5x=12

Divide both sides by 5.

x=\frac{12}{5}=2.4

Put this value in equation (2).

y=-2(2.4)+5

y=-4.8+5

y=0.2

Therefore the solution of the system of equation is (2.4,0.2) and the system has only one solution. Option d is correct.

Nesterboy [21]3 years ago
4 0
X-2y=2
y=-2x+5
A. Infinitely many solutions
B. No Solutions
C. Two Solutions
D. One Solution*****
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